EBK PROBABILITY & STATISTICS FOR ENGINE
EBK PROBABILITY & STATISTICS FOR ENGINE
16th Edition
ISBN: 9780321997401
Author: AKRITAS
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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Chapter 1.4, Problem 2E
To determine

Describe the statistical population for each example.

Identify whether the variable of interest is quantitative or qualitative.

Find another variable that could be measured on the population units.

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-xx0. B2 If Xfx(x) find the MGF in the case that fx(x) = - 1 28 exp{-|x − a\/ẞ}, Use the MGF to compute E(X) and Var(X).
B3 Consider X ~ Bern(p) (a) Find Mx(t), the moment generating function of X. iid (b) If X1,..., Xn Bern(p), find the MGF, say My (t) of n Y = ΣΧ (c) Using the fact that i=1 n lim (1 (1+2)"= N→X = e² find limn→∞ My (t) in the case that p satisfies limn→∞ np = λ, say. (d) State the distribution of Y in the case that n is not large, and the distribution of Y in the limiting case described in the question.
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